On the existence of positive solutions for nonlinear two-point boundary-value problems.
On the existence of positive solutions of a nonlinear differential equation.
On the existence of solutions for a class of first-order differential equations.
On the existence of solutions for dynamic boundary value problems under barrier strips condition.
On the existence of solutions for impulsive Duffing dynamic equations on time scales with Dirichlet boundary conditions.
On the existence of solutions for nonlinear impulsive periodic viable problems
In this paper we prove the existence of periodic solutions for nonlinear impulsive viable problems monitored by differential inclusions of the type x′(t)∈F(t,x(t))+G(t,x(t)). Our existence theorems extend, in a broad sense, some propositions proved in [10] and improve a result due to Hristova-Bainov in [13].
On the existence of steady flow in a channel with one porous wall or two accelerating walls.
On the GBDT Version of the Bäcklund-Darboux Transformation and its Applications to Linear and Nonlinear Equations and Weyl Theory
A general theorem on the GBDT version of the Bäcklund-Darboux transformation for systems depending rationally on the spectral parameter is treated and its applications to nonlinear equations are given. Explicit solutions of direct and inverse problems for Dirac-type systems, including systems with singularities, and for the system auxiliary to the N-wave equation are reviewed. New results on explicit construction of the wave functions for radial...
On the generalized boundary value problem
In the paper it is proved that the generalized linear boundary value problem generates a Fredholm operator. Its index depends on the number of boundary conditions. The existence results of Landesman-Lazer type are given as an application to nonlinear problems by using dual generalized boundary value problems.
On the generalized Riccati matrix differential equation. Exact, approximate solutions and error estimate
In this paper explicit expressions for solutions of Cauchy problems and two-point boundary value problems concerned with the generalized Riccati matrix differential equation are given. These explicit expressions are computable in terms of the data and solutions of certain algebraic Riccati equations related to the problem. The interplay between the algebraic and the differential problems is used in order to obtain approximate solutions of the differential problem in terms of those of the algebraic...
On the genericity of nonvanishing instability intervals in Hills equation
On the global solvability of a class of fourth-order nonlinear boundary value problems.
On the Green function of Sturm-Liouville differential equation with normal operator coefficient.
On the inversion of the camber line problem.
On the isospectral beams.
On the -solutions to general second-order nonsymmetric differential equations.
On the limit-3 classification of the square of a second-order, linear differential expression
On the modified boundary value problem of de la Vallée-Poussin for nonlinear ordinary differential equations.
On the monotonicity of nonnegative solutions and the uniqueness of eigenvalues
On the necessary and sufficient conditions for the convergence of the difference schemes for the general boundary value problem for the linear systems of ordinary differential equations
We consider the numerical solvability of the general linear boundary value problem for the systems of linear ordinary differential equations. Along with the continuous boundary value problem we consider the sequence of the general discrete boundary value problems, i.e. the corresponding general difference schemes. We establish the effective necessary and sufficient (and effective sufficient) conditions for the convergence of the schemes. Moreover, we consider the stability of the solutions of general...